A unified approach for solving linear and nonlinear odd-order two-point boundary value problems
In this article new spectral solutions for odd-order two-point boundary value problems are obtained. A numerical algorithm based on collocation methods is implemented and analyzed. A new matrix of derivatives for a certain Legendre basis polynomials is derived. The proposed algorithm has the advantage to be applicable to both linear and nonlinear odd-order two-point boundary value problems. The convergence and error analysis are investigated. Five illustrative examples supported with comparisons are displayed to ensure the efficiency and applicability of the proposed algorithm.
scientific article; zbMATH DE number 7192876
scientific article